Finding the Third Proportional to 47,133 and 101,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,133 : 101,647.50 = 101,647.50 : x
2. Step 2: Convert to fraction form
   47,133/101,647.50 = 101,647.50/x
3. Step 3: Cross multiply
   47,133x = 101,647.50 × 101,647.50
4. Step 4: Simplify right side
   47,133x = 10,332,214,256.25
5. Step 5: Solve for x
   x = 10,332,214,256.25/47,133
6. Step 6: Final answer
   x = 219,214.02